caa a22 4500 467893268 CHVBK 20180406152755.0 cr unu---uuuuu 170328e20061101xx s 000 0 eng 10.1007/s10955-006-9243-3 doi (NATIONALLICENCE)springer-10.1007/s10955-006-9243-3 Misumi Jun Graduate School of Mathematical Sciences, The University of Tokyo, Komaba, 153-8914, Tokyo, Japan aut Critical Values in a Long-range Percolationon Spaces Like Fractals [Elektronische Daten] [Jun Misumi] On a certain class of general discrete spaces including fractals, we consider a model in which each pair of distinct points is connected by a random bond. The main question we are concerned is whether a connected component consisting of infinitely many points exists or not. This depends on the choice of parameters in the connecting probabilities, and the aim of this paper is to find thresholds of the parameters Springer Science+Business Media, LLC, 2006 Long-range percolation nationallicence phase transition nationallicence cluster nationallicence Fractals nationallicence Journal of Statistical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 125/4(2006-11-01), 873-883 0022-4715 125:4<873 2006 125 10955 https://doi.org/10.1007/s10955-006-9243-3 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10955-006-9243-3 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Misumi Jun Graduate School of Mathematical Sciences, The University of Tokyo, Komaba, 153-8914, Tokyo, Japan aut NATIONALLICENCE 773 0- Journal of Statistical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 125/4(2006-11-01), 873-883 0022-4715 125:4<873 2006 125 10955 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer